PRP Records

Probable Primes Top 10000

(255244 PRPs in the top)


What is a PRP ?

A PRP is a probable prime number, a number that nobody knows how to prove or disprove its primality.
Here are some criterions that can be used to recognize these numbers :

- N does not have any prime factor up to 2^32.
- N cannot be trivially written into a product.
- Take 3 square-free consecutive bases such that (b1/N)=(b2/N)=(b3/N)= -1. N should be such that b1^((N-1)/2)=b2^((N-1)/2)=b3^((N-1)/2)= -1 (mod N).
- Take a prime base such that (b/N)= -1 and b<>b1<>b2<>b3. N should pass the strong test in base b.
- or more (if someone has got an idea) !!!


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1-250   251-500   501-750   751-1000   1001-1250   1251-1500   1501-1750   1751-2000   
2001-2250   2251-2500   2501-2750   2751-3000   3001-3250   3251-3500   3501-3750   3751-4000   
4001-4250   4251-4500   4501-4750   4751-5000   5001-5250   5251-5500   5501-5750   5751-6000   
6001-6250   6251-6500   6501-6750   6751-7000   7001-7250   7251-7500   7501-7750   7751-8000   
8001-8250   8251-8500   8501-8750   8751-9000   9001-9250   9251-9500   9501-9750   9751-10000   


Rank Probable prime Digits (> 50000) Who ? When ?
90022^203642+3961303Lelio R Paula08/2011
9001floor(Pi*10^61382)%(10^61303)61303Serge Batalov07/2012
900311^58849-604061285Enzo Doria02/2013
900443694!3-361264Robert Price10/2014
900558*(10^(3*20420)-1)/111-161260Robert Price10/2014
90062^203490+1290961257Lelio R Paula10/2011
9007(16*10^61251-31)/361252Robert Price03/2016
900820^47077-570361249Enzo Doria03/2013
90092^203434-11308161240Enzo Doria07/2014
90115^87606+461234Wojciech Florek11/2005
90102^203412-16761234Lelio R Paula08/2011
90122^203402+108961231Lelio R Paula10/2011
9013(8*10^61230+67)/361231Robert Price01/2017
9014(2^203408+lucasV(1,2,203408)+1)/(2*32993)61228Mike Oakes11/2016
90151265^19732+19732^126561211Serge Batalov05/2014
90162^203330+14561209Lelio R Paula08/2011
90176^78647-13761200Lelio R Paula04/2013
901885^31718+8461198Norbert Schneider10/2015
901911^58763-27061196Enzo Doria07/2012
90202^203285-11232161195Enzo Doria06/2014
90212^203253-99514361186Paul Bourdelais11/2012
902215319^9862+9862^1531961184Hans Havermann07/2016
90237^72395-4461181Lelio R Paula04/2013
9024(49*10^61167-67)/961168Robert Price08/2017
90255*2^203176-761163Lelio R Paula04/2014
9026(26*10^61156-413)/961157Robert Price10/2017
90287^72358+5461150Lelio R Paula04/2013
90272^203133-11177561150Enzo Doria05/2014
9029(lucasV(1,2,406356)+2)/(3^2*5*11*19*31*583697*9671743)61145Mike Oakes01/2017
90302^203112-1800961143Enzo Doria05/2013
903143607!3+72961129Robert Price09/2014
90322^203065-11485361129Enzo Doria05/2015
90333^128111+19661125Lelio R Paula04/2013
9034128^29007+29007^12861124Serge Batalov05/2014
90354*10^61119+4961120Robert Price08/2017
903622355*2^203009-361117Donovan Johnson03/2004
90372^203018+3361115Lelio R Paula08/2011
90382^203017-161561115Lelio R Paula10/2011
903916697^4570+4570^1669761110Hans Havermann12/2016
90402^202998-1724161109Enzo Doria05/2013
904120^46964+9361102Lelio R Paula06/2013
9042(55*10^61097-1)/961098Ray Chandler02/2012
904320^46960-546361097Enzo Doria03/2013
9044(11*10^61095+49)/361096Robert Price05/2016
904514040^14731-14731^1404061095Norbert Schneider04/2019
90462^202934-595561090Lelio R Paula10/2011
904719^47772-6861089Lelio R Paula05/2013
90482^202877-49942361073Paul Bourdelais03/2013
90492^202763-1712561038Enzo Doria05/2013
9050(23*2^202756+1)/961037Lelio R Paula03/2012
905114788^13355+13355^1478861011Hans Havermann12/2016
905216069^6258+6258^1606961005Hans Havermann12/2016
90535^87276-1433661004Enzo Doria02/2013
905450^35899-49^3589960992Robert Price12/2012
905510^60991+12345678960992Robert Price10/2019
90562^202599-304960989Yves Minet10/2014
90572^202535-11157160970Enzo Doria05/2014
9058(13*10^60966+107)/360967Robert Price11/2017
906010^60959+5760960Patrick De Geest12/2008
90596*10^60959-9160960Robert Price11/2017
906210^60959-6095960959Henri Lifchitz08/2002
906110^60959-2917760959Patrick De Geest08/2008
90635^87206+4^(87206+1)60955Robert Price07/2016
90642^202476-1590960952Enzo Doria04/2013
90652^202472-1751360951Enzo Doria05/2013
906614858^12651+12651^1485860950Hans Havermann12/2016
90672^202389-5869560926Lelio R Paula09/2011
90683^127597-3460880Lelio R Paula04/2013
906915088^10831+10831^1508860876Hans Havermann12/2016
90702^202198-11326160868Enzo Doria07/2014
90712^202182+13560863Lelio R Paula08/2011
90722^202176+8560862Lelio R Paula08/2011
90735183^16384+5182^1638460860Henri Lifchitz01/2007
9074(31*2^202163+1)/360859Lelio R Paula03/2012
907514708^13707+13707^1470860847Hans Havermann12/2016
90762^202112+202112^2-160842Robert Price04/2014
9077(13*2^202142-1)/40598427425760841Lelio R Paula01/2014
907864743*10^60832+(6^78175-11)/560837Gilbert Mozzo05/2012
9079(19*2^202098-1)/679560836Lelio R Paula01/2014
9080(6^78175-11)/560832Paul Bourdelais11/2011
90812^202063+160560828Lelio R Paula09/2011
90822^202058+85960826Lelio R Paula09/2011
90831576^19021+19021^157660821Serge Batalov05/2014
9084(2^202009+3)/600560807Lelio R Paula03/2012
908510^60776+360777Robert Price01/2011
908610^60776-1481960776Patrick De Geest12/2012
908755*10^60772+760774Robert Price10/2017
9088(6883*2^201869-1)/3560771Lelio R Paula04/2015
908914801^12750+12750^1480160766Hans Havermann05/2019
9090(27*2^201841-1)/4360760Lelio R Paula01/2014
90912^201822-17760755Lelio R Paula08/2011
9092(13*10^60744+17)/360745Robert Price06/2015
9093(31*2^201754-1)/9960734Lelio R Paula01/2014
9094(26*10^60717-71)/960718Robert Price03/2015
909537^38712-260709Lelio R Paula08/2013
90962^201657-11200360705Enzo Doria05/2014
9097(10^60703+3^60703)/1360702Robert Price01/2013
90982^201622-11281760695Enzo Doria06/2014
90992^201620-1717760694Enzo Doria05/2013
9100(2^201615-3)*6-760693Gilbert Mozzo05/2016
91012^201609-4978960691Henri Lifchitz03/2005
91022^201582-1906160683Enzo Doria05/2013
910343316!3+2760679Robert Price09/2014
9104(509203*2^201564-1)/506760679Lelio R Paula04/2015
91052^201560+10560676Lelio R Paula08/2011
9106(27*2^201584-1)/64675548645760673Lelio R Paula01/2014
91072^201545-1802160672Enzo Doria05/2013
91082^201543+1171560671Lelio R Paula09/2011
91092^201512-11175560662Enzo Doria05/2014
9110p(13013)#/2+6460662Robert Price03/2017
911115962^6315+6315^1596260662Hans Havermann05/2019
911211^58248+1660660Lelio R Paula05/2013
91132^201496-2760657Lelio R Paula08/2011
91145*10^60655+5760656Robert Price11/2017
911516239^5432+5432^1623960653Hans Havermann05/2019
9116(7*10^60643+197)/360644Robert Price07/2017
91172^201426-1609760636Enzo Doria04/2013
9118(17*10^60631-11)/360632Robert Price07/2015
91196^77916-7760631Lelio R Paula04/2013
9120(27*2^201410-1)/49160630Lelio R Paula01/2014
91215^86727+9860620Lelio R Paula04/2013
912217^49266-2660620Lelio R Paula05/2013
912320^46589-3360614Lelio R Paula05/2013
912411825^14882-14882^1182560612Norbert Schneider08/2019
91266^77889+6560610Lelio R Paula04/2013
912514921^11536+11536^1492160610Hans Havermann05/2019
9127139901#+14838760595Nicolas PALAU09/2016
91282^201285-11172360593Enzo Doria05/2014
912946199*2^201268+12964760593Paul Vanderveen11/2016
91313^126991-10060591Lelio R Paula04/2013
91302^201278-11162360591Enzo Doria05/2014
91325^86682-1600460589Enzo Doria05/2014
9133(865*10^60583-1)/960585Robert Price11/2017
9134(58*10^60579+221)/960580Robert Price02/2017
91359*2^201231-560578Lelio R Paula04/2014
91364*10^60572-8960573Robert Price08/2017
9137(78557*2^201207+1)/1306760571Lelio R Paula06/2014
91382^201186-6694560564Lelio R Paula09/2011
91392^201186-9439560564Lelio R Paula09/2011
914065^33403+3260557Lelio R Paula01/2016
9141103^30079+10260545Norbert Schneider10/2016
9142(1000159^10091+1)/100016060541Faysal YAtim08/2008
91432^201098-1771760537Enzo Doria05/2013
9144(3^126881+8)/482960534Lelio R Paula03/2012
91452^201074+7504960530Enzo Doria04/2016
914611^58111-129060517Enzo Doria11/2012
9147(509203*2^201012-1)/960516Lelio R Paula04/2015
9148(2^200997+103590)/260506Stefano Morozzi10/2019
9149(2^200995+12966)/260506Stefano Morozzi10/2019
9150(2^200996+41746)/260506Stefano Morozzi10/2019
9151(2^200994+88474)/260505Stefano Morozzi10/2019
9152(2^200988+69570)/260504Stefano Morozzi10/2019
9153(2^200989+91374)/260504Stefano Morozzi10/2019
9154(2^200988+1162)/260504Stefano Morozzi10/2019
9155(2^200986+141282)/260503Stefano Morozzi10/2019
9156(2^200987+98834)/260503Stefano Morozzi10/2019
9157(2^200987+134150)/260503Stefano Morozzi10/2019
9158(2^200987+36306)/260503Stefano Morozzi10/2019
9159(2^200978+102474)/260501Stefano Morozzi10/2019
9160(2^200978+193794)/260501Stefano Morozzi10/2019
9161(2^200979+102630)/260501Stefano Morozzi10/2019
9162(2^200979+197418)/260501Stefano Morozzi10/2019
9163(2^200979+20934)/260501Stefano Morozzi10/2019
9164(2^200979+57186)/260501Stefano Morozzi10/2019
9165(2^200980+1590)/260501Stefano Morozzi10/2019
9166(2^200980+59802)/260501Stefano Morozzi10/2019
916914447^14544-14544^1444760500Norbert Schneider12/2018
9167(2^200976+64590)/260500Stefano Morozzi10/2019
9168(2^200975+59534)/260500Stefano Morozzi10/2019
9170(2^200974+73402)/260499Stefano Morozzi10/2019
9171(2^200974+108894)/260499Stefano Morozzi10/2019
9172(2^200970+184858)/260498Stefano Morozzi10/2019
9173(2^200968+60306)/260498Stefano Morozzi10/2019
9174(2^200966+152370)/260497Stefano Morozzi10/2019
9175(2^200967+124070)/260497Stefano Morozzi10/2019
9176(2^200962+131130)/260496Stefano Morozzi10/2019
9177(2^200963+178446)/260496Stefano Morozzi10/2019
9178(2^200964+74382)/260496Stefano Morozzi10/2019
9179(2^200964+43006)/260496Stefano Morozzi10/2019
9180(2^200958+75810)/260495Stefano Morozzi10/2019
9181(2^200960+78558)/260495Stefano Morozzi10/2019
9182(2^200960+172818)/260495Stefano Morozzi10/2019
9183(2^200957+141246)/260494Stefano Morozzi10/2019
9184(2^200957+22682)/260494Stefano Morozzi10/2019
9185(2^200948+86266)/260492Stefano Morozzi10/2019
9186(2^200951+117594)/260492Stefano Morozzi10/2019
9187(2^200946+75378)/260491Stefano Morozzi10/2019
9188(2^200945+4386)/260491Stefano Morozzi10/2019
9189(2^200943+133266)/260490Stefano Morozzi10/2019
9190(2^200944+81006)/260490Stefano Morozzi10/2019
9191(2^200944+142678)/260490Stefano Morozzi10/2019
9192(2^200944+171490)/260490Stefano Morozzi10/2019
9193(2^200944+9898)/260490Stefano Morozzi10/2019
9194(2^200939+96774)/260489Stefano Morozzi10/2019
9195(2^200938+28914)/260489Stefano Morozzi10/2019
9196(2^200940+62406)/260489Stefano Morozzi10/2019
9197(2^200935+177198)/260488Stefano Morozzi10/2019
9198(2^200934+92118)/260487Stefano Morozzi10/2019
9199(2^200934+118038)/260487Stefano Morozzi10/2019
9200(2^200934+136914)/260487Stefano Morozzi10/2019
9201(2^200929+119030)/260486Stefano Morozzi10/2019
9202(2^200928+25398)/260486Stefano Morozzi10/2019
9203(2^200925+112382)/260485Stefano Morozzi10/2019
9204(2^200926+37230)/260485Stefano Morozzi10/2019
9205(2^200922+145038)/260484Stefano Morozzi10/2019
9206(2^200922+158602)/260484Stefano Morozzi10/2019
9207(2^200923+123050)/260484Stefano Morozzi10/2019
9208(2^200918+124762)/260483Stefano Morozzi10/2019
9209(2^200919+75986)/260483Stefano Morozzi10/2019
9210(2^200919+188430)/260483Stefano Morozzi10/2019
9211(2^200920+80118)/260483Stefano Morozzi10/2019
9212(2^200921+86102)/260483Stefano Morozzi10/2019
9213(2^200918+34962)/260483Stefano Morozzi10/2019
9214(2^200919+62018)/260483Stefano Morozzi10/2019
9215(2^200920+610)/260483Stefano Morozzi10/2019
9216(2^200915+3990)/260482Stefano Morozzi10/2019
92182^200911+571160481Lelio R Paula10/2011
9217(2^200912+124510)/260481Stefano Morozzi10/2019
9219(2^200912-3)/2360480Lelio R Paula03/2012
9220(2^200910+184662)/260480Stefano Morozzi10/2019
9221(2^200911+193034)/260480Stefano Morozzi10/2019
9222(2^200908+62142)/260480Stefano Morozzi10/2019
9223(2^200907+135174)/260479Stefano Morozzi10/2019
922518^48179-17^4817960478Jean-Louis Charton12/2010
9224(2^200904+6270)/260478Stefano Morozzi10/2019
9226(2^200898+192858)/260477Stefano Morozzi10/2019
9227(2^200899+30038)/260477Stefano Morozzi10/2019
923138^38281-37^3828160476Robert Price09/2012
92304*7^71560-360476Lelio R Paula09/2014
9228(2^200895+175746)/260476Stefano Morozzi10/2019
9229(2^200896+151750)/260476Stefano Morozzi10/2019
9232(2^200892+64762)/260475Stefano Morozzi10/2019
9233(2^200891+176474)/260474Stefano Morozzi10/2019
9234(2^200885+133886)/260473Stefano Morozzi10/2019
9235(2^200886+77362)/260473Stefano Morozzi10/2019
9236(2^200879+149450)/260471Stefano Morozzi10/2019
9237(2^200879+4730)/260471Stefano Morozzi10/2019
9238(2^200875+118430)/260470Stefano Morozzi10/2019
9239(2^200875+160250)/260470Stefano Morozzi10/2019
9240(2^200874+153430)/260469Stefano Morozzi10/2019
9241(2^200874+29482)/260469Stefano Morozzi10/2019
924512869^14714-14714^1286960468Norbert Schneider04/2019
9242(2^200869+185354)/260468Stefano Morozzi10/2019
9243(2^200871+108038)/260468Stefano Morozzi10/2019
9244(2^200871+127998)/260468Stefano Morozzi10/2019
9246(2^200868+112786)/260467Stefano Morozzi10/2019
9247(2^200866+35790)/260467Stefano Morozzi10/2019
9248(2^200863+91010)/260466Stefano Morozzi10/2019
9249(2^200860+66082)/260465Stefano Morozzi10/2019
9250(2^200859+8150)/260465Stefano Morozzi10/2019


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: November, 10 2019 12:07 (Time in France)

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